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Finding the Fourth Proportional to 434,809.12, 600,122.64 and 282,036.64

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Solution

The fourth proportional to 434,809.12, 600,122.64 and 282,036.64 is: 389,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,809.12 : 600,122.64 = 282,036.64 : x
  2. Step 2: Convert to fraction form
    434,809.12/600,122.64 = 282,036.64/x
  3. Step 3: Cross multiply
    434,809.12x = 600,122.64 × 282,036.64
  4. Step 4: Simplify right side
    434,809.12x = 169,256,572,973.53
  5. Step 5: Solve for x
    x = 169,256,572,973.53/434,809.12
  6. Step 6: Final answer
    x = 389,266.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.